12467682360 has 384 divisors, whose sum is σ = 49735296000. Its totient is φ = 2643701760.

The previous prime is 12467682341. The next prime is 12467682389. The reversal of 12467682360 is 6328676421.

12467682360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3039591 + ... + 3043689.

It is an arithmetic number, because the mean of its divisors is an integer number (129519000).

Almost surely, 2^12467682360 is an apocalyptic number.

12467682360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12467682360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24867648000).

12467682360 is an abundant number, since it is smaller than the sum of its proper divisors (37267613640).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12467682360 is a wasteful number, since it uses less digits than its factorization.

12467682360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4211 (or 4204 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 12467682360 in words is "twelve billion, four hundred sixty-seven million, six hundred eighty-two thousand, three hundred sixty".